Ans(a):
Given function is
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(e):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
4x-3x=-1-16
x=-17
Hence final answer is x=-17
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
<h3>Given</h3>
<u>The equation for simple interest:</u>
<u>And values</u>
<h3>Solution</h3>
<u>Interest amount is</u>
<u>Solving for annual interest rate</u>
- 160 = 2000*2r
- 160 = 4000r
- r = 160/4000
- r = 0.04
- 0.04*100% = 4%
Annual interest rate is 4%